# Solving Pendulum Question on Physics Quiz: Length 2m, 10 Oscillations in 32 secs

• NoHeart
In summary, the conversation discusses a problem with finding the gravity on a moon based on the oscillation of a pendulum. The formula g=4pi^2L/T^2 is used, but the answer does not match any of the given choices. After examining the calculation, it is determined that the period should be 3.2 seconds, resulting in a gravity of 8.08 m/s^2.
NoHeart
I'm having a problem with just one question on this week's physics quiz-
a pendulum with length 2m on a moon oscillates 10 times in 32 seconds, what is the gravity on this moon?

i know (or thought i knew) how to get the answer to this, with the simple formula g=4pi^2L/T^2

10 oscillations in 32 seconds means a frequency of .32Hz, right? and T=1/f so T=3.125, right?
so when i plug in T as 3.125 and L as 2, i get an answer of 8.08 m/s^2

this is not one of the answer choices, however. my choices are 2.54, 9.86, 7.71, and 3.86
what have i done wrong?

Your approach is correct, Your arithmetic is wrong. The Period would be equal to 3.2

10 oscillations in 32 seconds means a frequency of .32Hz, right? and T=1/f so T=3.125, right?
Actually,you are not right.
T=t/r=32/10=3.2 second.

## What is the formula for calculating the period of a pendulum?

The formula for calculating the period of a pendulum is T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.

## What is the relationship between the length of a pendulum and its period?

The length of a pendulum and its period have an inverse relationship. This means that as the length of the pendulum increases, the period decreases, and vice versa.

## How many oscillations should occur in a given time period for a pendulum with a length of 2m?

For a pendulum with a length of 2m, there should be 10 oscillations in 32 seconds. This can be calculated by dividing the total time (32 seconds) by the period of the pendulum (3.2 seconds).

## What is the unit of measurement for the length of a pendulum?

The length of a pendulum is typically measured in meters (m).

## How does the acceleration due to gravity affect the period of a pendulum?

The acceleration due to gravity has a direct effect on the period of a pendulum. The higher the acceleration due to gravity, the shorter the period will be, and vice versa.

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